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Finding the Fourth Proportional to 1,227.24, 1,845 and 680.40

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Solution

The fourth proportional to 1,227.24, 1,845 and 680.40 is: 1,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.24 : 1,845 = 680.40 : x
  2. Step 2: Convert to fraction form
    1,227.24/1,845 = 680.40/x
  3. Step 3: Cross multiply
    1,227.24x = 1,845 × 680.40
  4. Step 4: Simplify right side
    1,227.24x = 1,255,338
  5. Step 5: Solve for x
    x = 1,255,338/1,227.24
  6. Step 6: Final answer
    x = 1,022.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.